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Inverse-Designed Diamond Photonics

Constantin Dory, Dries Vercruysse, Ki Youl Yang, Neil V. Sapra, Alison E. Rugar, Shuo Sun, Daniil M. Lukin, Alexander Y. Piggott, Jingyuan L. Zhang, Marina Radulaski, Konstantinos G. Lagoudakis, Logan Su, Jelena Vuckovic

arXiv:1812.02287v4physics.app-phcond-mat.mes-hallphysics.optics

TL;DR

Diamond quantum photonic circuits are limited by fabrication geometries that restrict device functionality and integration. This paper uses inverse design to create compact, fabricable interfaces and integrate them with cavities and waveguide-splitters. The resulting devices show high efficiency, robustness, and circuit-level integration.

Abstract

from arXiv · show

Diamond hosts optically active color centers with great promise in quantum computation, networking, and sensing. Realization of such applications is contingent upon the integration of color centers into photonic circuits. However, current diamond quantum optics experiments are restricted to single devices and few quantum emitters because fabrication constraints limit device functionalities, thus precluding color center integrated photonic circuits. In this work, we utilize inverse design methods to overcome constraints of cutting-edge diamond nanofabrication methods and fabricate compact and robust diamond devices with unique specifications. Our design method leverages advanced optimization techniques to search the full parameter space for fabricable device designs. We experimentally demonstrate inverse-designed photonic free-space interfaces as well as their scalable integration with two vastly different devices: classical photonic crystal cavities and inverse-designed waveguide-splitters. The multi-device integration capability and performance of our inverse-designed diamond platform represents a critical advancement toward integrated diamond quantum optical circuits.

Inverse-Designed Diamond Photonics

Diamond’s optical properties and color centers motivate integrated photonic circuits, but fabrication constraints restrict device geometries and functionality. The work addresses these challenges with inverse design and demonstrates fabricable diamond devices and circuit integration.

Inverse design of diamond nanophotonic devices

The paper develops inverse-designed diamond vertical couplers that replace low-efficiency notches while respecting fabrication constraints. The approach combines electromagnetic optimization with fabrication penalties and supports compact, selective free-space-to-waveguide coupling.

Characterization of diamond vertical couplers

The vertical couplers were experimentally characterized for polarization response, coupling efficiency, bandwidth, and robustness across fabricated devices.

Polarization and efficiency

  • Rotating the input polarization produced a five-fold reduction in transmitted power, consistent with simulations and coupling to a linearly polarized TEM00 mode.The measurement provides experimental evidence for the intended polarization-selective free-space interface.Source: Characterization of diamond vertical… · p. 3

Measurement approach

Polarization and efficiency

  • Peak coupling efficiencies reached ≈21 % with a polarization-maintaining fiber and ≈26.5 % with a multimode fiber.The measured bandwidth exceeded 70 nm for the polarization-maintaining fiber and 90 nm for the multimode fiber.Source: Characterization of diamond vertical… · p. 3
  • The measured efficiencies agreed well with numerical simulations, while the small fiber-dependent discrepancy indicated efficient coupling into the fundamental free-space mode TEM00.The comparison used both polarization-maintaining and multimode fiber collection.Source: Characterization of diamond vertical… · p. 3

Robustness

  • Fifteen devices measured under coarse alignment showed robust transmission, and 30 fabricated devices averaged 24.2 % efficiency across varied doses.The optimization imposed minimum feature sizes to support fabrication yield and robustness.Source: Characterization of diamond vertical… · p. 4

Diamond quantum optical interfaces

The compact vertical couplers provide a free-space interface compatible with diamond nanophotonic resonators, substantially outperforming notches in cavity readout measurements.

Interface design

  • The vertical coupler is compact, robust, and designed for simultaneous fabrication with high-Q/V resonators without additional fabrication steps.It is intended as a free-space interface for cavity quantum electrodynamics and avoids steps that could affect resonator performance.Source: Diamond quantum optical interfaces · p. 4

Cavity characterization

  • Nanobeam photonic crystal cavities were measured by coupling a free-space laser into their TE fundamental mode and then into the cavity modes.The comparison included devices using inverse-designed vertical couplers and notches as free-space interfaces.Source: Diamond quantum optical interfaces · pp. 4–5

Performance comparison

  • > 550-fold higher cavity-resonance counts were measured with the vertical coupler than with the notch device at comparable Q ≈4000.The measured enhancement matched the 625-fold enhancement expected from simulations.Source: Diamond quantum optical interfaces · p. 5
  • The cavity-to-waveguide extraction efficiency was ≈24 times greater for a vertical coupler than for a notch.This result was obtained by directly coupling to the cavity and optimizing collection from each interface.Source: Diamond quantum optical interfaces · p. 5

Experimental consequence

  • The higher coupling efficiency reduced some photon-integration times from weeks to minutes.The passage presents this reduction as an experimental consequence of the improved interface performance.Source: Diamond quantum optical interfaces · p. 5

Inverse-designed diamond photonic circuit

Inverse-designed components were integrated into a diamond circuit combining vertical couplers, waveguide-splitters, and nanobeam cavities for multi-cavity optical experiments.

Circuit requirements

  • Scaling quantum photonics requires excitation of multiple cavities, interference on beamsplitters, and efficient photon collection and detection.The passage identifies waveguide-splitters as difficult to realize in suspended diamond using angled-etch fabrication.Source: Inverse-designed diamond photonic… · p. 5

Integrated circuit

  • The fabricated conceptual circuit combines vertical couplers, waveguide-splitters, and nanobeam photonic crystal cavities with different geometries.The two cavity outputs are interfered and routed through the circuit for off-chip coupling.Source: Inverse-designed diamond photonic… · p. 5
  • The inverse-designed waveguide-splitter was designed for a 50:50 splitting ratio with simulated efficiencies of 95 %.The two nanobeam resonances were detuned by < 1 nm because of fabrication imperfections and tuned using gas condensation.Source: Inverse-designed diamond photonic… · p. 5

Implications

  • The circuit demonstrates inverse design overcoming limitations of classical photonics for large-scale on-chip quantum optics experiments.The supported extension directions include greater compactness, arbitrary emitter locations, phase matching, and bandwidth-specific optimization.Source: Inverse-designed diamond photonic… · p. 6

Highly efficient free-space-waveguide interfaces

The study projects higher-efficiency free-space interfaces by relaxing fabrication constraints, breaking vertical symmetry, and adding reflective structures.

Efficiency targets

  • Efficiencies above 90 % are achievable with fiber tapers, but their substantially larger footprints motivate compact alternatives.The study compares this trade-off with inverse-designed free-space-waveguide interfaces.Source: Highly efficient free-space-waveguide… · p. 6

Reflective enhancement

  • Suspended-air devices reach 67.9 % efficiency, while aluminum back-reflectors raise efficiencies to 72.4 % on SiO2 and 86.6 % in suspended structures.The back-reflector distances are optimized relative to the coupler to match reflected and directly coupled photon phases.Source: Highly efficient free-space-waveguide… · pp. 6–7

Application scope

  • These designs are presented as compact alternatives to fiber tapers for single-photon quantum photonic applications.The same interfaces may support optical driving of individual emitters for Raman-based compensation of spectral broadening.Source: Highly efficient free-space-waveguide… · p. 7

Discussion

The work uses optimization-based inverse design to address diamond nanofabrication constraints and develop efficient building blocks for diamond nanophotonic circuits. Optical free-space couplers and a small diamond photonic circuit achieve high efficiency, compactness, and robustness.

  • Optimization-based inverse design addresses constraints from cutting-edge diamond nanofabrication.Source: Discussion · p. 7
  • Optical free-space couplers and a small diamond photonic circuit achieve high efficiency, compactness, and robustness.Source: Discussion · p. 7
  • These compact building blocks enable more complex quantum circuits with varied device components.Source: Discussion · p. 7
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